{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,30]],"date-time":"2026-10-30T18:41:18Z","timestamp":1793385678176,"version":"4.5.0"},"reference-count":21,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2010,10,18]],"date-time":"2010-10-18T00:00:00Z","timestamp":1287360000000},"content-version":"unspecified","delay-in-days":6713,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[1992,6]]},"abstract":"<jats:p>This paper presents several generic uniform convergence results that include generic uniform laws of large numbers. These results provide conditions under which pointwise convergence almost surely or in probability can be strengthened to uniform convergence. The results are useful for establishing asymptotic properties of estimators and test statistics.<\/jats:p><jats:p>The results given here have the following attributes, (1) they extendresults of Newey to cover convergence almost surely as well as convergence in probability, (2) they apply to totally bounded parameter spaces (rather than just to compact parameter spaces), (3) they introduce a set of conditions for a generic uniform law of large numbers that has the attribute of giving the weakest conditions available for i.i.d. contexts, but which apply in some dependent nonidentically distributed contexts as well, and (4) they incorporate and extend themain results in the literature in a parsimonious fashion.<\/jats:p>","DOI":"10.1017\/s0266466600012780","type":"journal-article","created":{"date-parts":[[2010,10,18]],"date-time":"2010-10-18T09:12:04Z","timestamp":1287393124000},"page":"241-257","source":"Crossref","is-referenced-by-count":185,"title":["Generic Uniform Convergence"],"prefix":"10.1017","volume":"8","author":[{"given":"Donald W.K.","family":"Andrews","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2010,10,18]]},"reference":[{"key":"S0266466600012780_ref003","unstructured":"3. Andrews D.W.K. Asymptotics for semiparametric econometric models: I. Estimation and testing. Cowles Foundation Discussion Paper No. 908Rs Yale University, 1988."},{"key":"S0266466600012780_ref017","unstructured":"17. P\u00f6tscher B.M. & Prucha I.R. . Consistency in nonlinear econometrics: A generic uniform law of large numbers and some comments on recent results, working paper no. 86\u20139, Department of Economics, University of Maryland, 1986."},{"key":"S0266466600012780_ref009","volume-title":"A Unified Theory of Estimation and Inference for Nonlinear Dynamic Models","author":"Gallant","year":"1988"},{"key":"S0266466600012780_ref004","unstructured":"4. Andrews D.W.K. Asymptotics for semiparametric econometric models: II. Stochastic equicontinuity and nonparametric kernel estimation. Cowles Foundation Discussion Paper No. 909R, Yale University, 1989."},{"key":"S0266466600012780_ref018","doi-asserted-by":"publisher","DOI":"10.2307\/1911058"},{"key":"S0266466600012780_ref011","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466600004412"},{"key":"S0266466600012780_ref020","unstructured":"20. P\u00f6tscher B.M. & Prucha I.R. . Generic uniform convergence and equicontinuity concepts for random functions: An exploration of the basic structure. Working paper no. 90\u201314, Department of Economics, University of Maryland, 1990."},{"key":"S0266466600012780_ref013","volume-title":"Stochastic Convergence","author":"Lukacs","year":"1969"},{"key":"S0266466600012780_ref015","doi-asserted-by":"publisher","DOI":"10.2307\/2938179"},{"key":"S0266466600012780_ref008","doi-asserted-by":"publisher","DOI":"10.1002\/9780470316719"},{"key":"S0266466600012780_ref014","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176996269"},{"key":"S0266466600012780_ref021","doi-asserted-by":"publisher","DOI":"10.1137\/1101016"},{"key":"S0266466600012780_ref001","doi-asserted-by":"publisher","DOI":"10.2307\/1913568"},{"key":"S0266466600012780_ref010","doi-asserted-by":"publisher","DOI":"10.2307\/3212240"},{"key":"S0266466600012780_ref005","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4076(84)90025-3"},{"key":"S0266466600012780_ref006","unstructured":"6. Bierens H.J. \u201cLeast Squares Estimation of Linear and Nonlinear ARMAX Models under Data Heterogeneity,\u201d unpublished manuscript, Department of Econometrics, Free University, Amsterdam."},{"key":"S0266466600012780_ref002","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466600013396"},{"key":"S0266466600012780_ref007","volume-title":"Convergence of Probability Measures","author":"Billingsley","year":"1968"},{"key":"S0266466600012780_ref012","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177697731"},{"key":"S0266466600012780_ref016","doi-asserted-by":"crossref","DOI":"10.1214\/cbms\/1462061091","volume-title":"Empirical Processes: Theory and Applications. CBMS Regional Conference Series in Probability and Statistics","volume":"2","author":"Pollard","year":"1990"},{"key":"S0266466600012780_ref019","doi-asserted-by":"publisher","DOI":"10.1080\/07474939108800204"}],"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466600012780","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,12]],"date-time":"2021-11-12T01:12:13Z","timestamp":1636679533000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466600012780\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,6]]},"references-count":21,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1992,6]]}},"alternative-id":["S0266466600012780"],"URL":"https:\/\/doi.org\/10.1017\/s0266466600012780","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,6]]}}}